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Finding the Fourth Proportional to 309.80, 464.31 and 136.36

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Solution

The fourth proportional to 309.80, 464.31 and 136.36 is: 204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 464.31 = 136.36 : x
  2. Step 2: Convert to fraction form
    309.80/464.31 = 136.36/x
  3. Step 3: Cross multiply
    309.80x = 464.31 × 136.36
  4. Step 4: Simplify right side
    309.80x = 63,311.64
  5. Step 5: Solve for x
    x = 63,311.64/309.80
  6. Step 6: Final answer
    x = 204.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.